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We calculate the explicit expression of the effective potential in a $\lambda\phi^4$ theory at finite temperature in a static universe for arbitrary spacetime dimensions (2\leq D < 5). To study the combined effects of the temperature and…

高能物理 - 唯象学 · 物理学 2007-05-23 T. Hattori , M. Hayashi , T. Inagaki , Y. Kitadono

We consider the massive vector $N$-component $(\lambda\phi^{4})_{D}$ theory in Euclidian space and, using an extended Matsubara formalism we perform a compactification on a $d$-dimensional subspace, $d\leq D$. This allows us to treat…

高能物理 - 理论 · 物理学 2014-11-18 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

The partition function and the order parameter for the chiral symmetry breaking are computed for a family of 2-dimensional interacting theories containing the gauged Thirring model. In particular we derive non-perturbative expressions for…

高能物理 - 理论 · 物理学 2009-10-22 I. Sachs , A. Wipf

We investigate the effective potential for a scalar $\Phi^{4}$ theory with spontaneous symmetry breaking at finite temperature. All 'daisy' and 'super daisy' diagrams are summed up and the properties of the corresponding gap eqation are…

高能物理 - 理论 · 物理学 2009-09-25 M. Bordag , V. Skalozub

We revisit the problem of spontaneous symmetry breaking (SSB), its restoration, and phase transition for a self interacting quantum scalar field in a general curved background, at zero and finite temperature. To the best of our knowledge,…

广义相对论与量子宇宙学 · 物理学 2025-09-25 Vishal Nath , Sourav Bhattacharya

We study spontaneous symmetry breaking in phi^4_(1+1) using the light-front formulation of the field theory. Since the physical vacuum is always the same as the perturbative vacuum in light-front field theory the fields must develop a…

高能物理 - 理论 · 物理学 2019-08-17 Carl M. Bender , Stephen Pinsky , Brett Van de Sande

A geometric interpretation of the spontaneous symmetry breaking effect, which plays a key role in the Standard Model, is developed. The advocated approach is related to the effective use of the momentum 4-spaces of the constant curvature,…

高能物理 - 唯象学 · 物理学 2009-01-09 V. G. Kadyshevsky , M. D. Mateev , V. N. Rodionov , A. S. Sorin

A dynamical mechanism for symmetry breaking is investigated under the circumstances with the finite curvature, finite size and non-trivial topology. A four- and eight-fermion interaction model is considered as a prototype model which…

高能物理 - 唯象学 · 物理学 2015-05-18 Masako Hayashi , Tomohiro Inagaki

This paper studies one-loop effective potential and spontaneous-symmetry-breaking pattern for SU(5) gauge theory in de Sitter space-time. Curvature effects modify the flat-space effective potential by means of a very complicated special…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Franco Buccella , Giampiero Esposito , Gennaro Miele

We study $D$-dimensional gauge theory with an extra dimension of a circle at finite temperature. We mainly focus on the expectation value of the gauge field for the direction of the extra dimension, which is the order parameter of the gauge…

高能物理 - 理论 · 物理学 2009-10-29 Makoto Sakamoto , Kazunori Takenaga

We analyze the spontaneous $U(1)_R$ symmetry breaking at finite temperature for the simple O'Raifeartaigh-type model introduced in [1] in connection with spontaneous supersymmetry breaking. We calculate the finite temperature effective…

高能物理 - 理论 · 物理学 2009-11-09 E. F. Moreno , F. A. Schaposnik

We study temperature and finite-size effects on the spontaneous symmetry breaking/restoration for a scalar field model under the influence of an external magnetic field, at finite chemical potential. We use the 2PI formalism and consider…

高能物理 - 理论 · 物理学 2013-11-21 L. M. Abreu , C. A. Linhares , A. P. C. Malbouisson , J. M. C. Malbouisson

We present a self-consistent calculation of the finite temperature effective potential for $\lambda \Phi^4$ theory in four dimensions using a composite operator effective action. We find that in a spontaneously broken theory not only the…

高能物理 - 唯象学 · 物理学 2008-02-03 Herbert Nachbagauer

In this work we investigate the spontaneous symmetry breaking (SSB) induced by a classical background spacetime's curvature, via the 2 particle irreducible (2PI) non-perturbative effective action formalism. We use the standard…

广义相对论与量子宇宙学 · 物理学 2025-07-08 Vishal Nath , Kinsuk Roy , Sourav Bhattacharya

We study the conditions for spontaneous symmetry breaking of the (2+1)-dimensional noncommutative phi^6 model in the small-theta limit. In this regime, considering the model as a cutoff theory, it is reasonable to assume translational…

高能物理 - 理论 · 物理学 2009-11-10 G. D. Barbosa

By the concurrent use of two different resummation methods, the composite operator formalism and the Dyson-Schwinger equation, we re-examinate the behavior at finite temperature of the O(N)-symmetric $\lambda\phi^{4}$ model in a generic…

高能物理 - 理论 · 物理学 2009-10-31 G. N. J. Añaños , A. P. C. Malbouisson , N. F. Svaiter

Spontaneous symmetry breaking in (1+1)-dimensional $\phi^{4}$ theory is studied with discretized light-front quantization. Taking effects of non-diagonal interactions into account, the first few terms of the commutation relations…

高能物理 - 理论 · 物理学 2007-05-23 Kazuto Oshima

We investigate (1+1)-dimensional $\phi^4$ field theory in the symmetric and broken phases using discrete light-front quantization. We calculate the perturbative solution of the zero-mode constraint equation for both the symmetric and broken…

高能物理 - 理论 · 物理学 2009-10-28 John Hiller , Steve Pinsky , Brett van de Sande

We consider the massive vector $N$-component $(\lambda\varphi^{4})_{D}$ theory defined on a Euclidean space with a toroidal topology. Using recently developed methods to perform a compactification of a $d$-dimensional subspace at finite…

高能物理 - 理论 · 物理学 2015-06-11 C. A. Linhares , A. P. C. Malbouisson , J. M. C. Malbouisson , I. Roditi

According to resummed perturbation theory, certain scalar theories have a global symmetry, which is restored in the vacuum but is broken at high temperatures. Recently, this phenomenon has been studied with 4d finite temperature lattice…

高能物理 - 格点 · 物理学 2009-10-31 K. Jansen , M. Laine
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